3 citations · 28 across the 41 of their papers we have counts for
47 papers
Schur positivity of three-legged spiders
David G. L. Wang, Watson Z. Y. Wang
We give a complete classification of Schur positivity for three-legged spiders. Every spider with at least two even legs is Schur positive, whereas every spider with three odd legs…
Schur positivity from signed elementary expansions: clique-spiders and spiders
David G. L. Wang, Watson Z. Y. Wang
Determining when the chromatic symmetric function of a graph is Schur positive is a central problem in algebraic combinatorics. Elementary expansions can help answer this question,…
An -positive classification for complete multipartite graphs
Ariel Y. Sun, David G. L. Wang, Watson Z. Y. Wang
Shelburne and van Willigenburg (arXiv:2604.26158) characterize the Schur-positive complete multipartite graphs and leave open whether the graphs~ are -positive.…
Schur positivity of the spiders and via noncommutative symmetric functions
Jean-Yves Thibon, David G. L. Wang
We prove that the spider graphs and are Schur positive for all integers . Together with the known -positivity results, this completes the - and S…
A unimodal sequence with mode at a quarter length
Max Y. C. Liu, David G. L. Wang
We show that the number of partitions with even parts and largest hook length is strongly unimodal with mode [(n-1)/4] for . We establish this result by in…
Two cycle-chord graphs are -positive
David G. L. Wang, Monica M. Y. Wang
We prove Gebhard and Sagan's -positivity of the line graphs of tadpoles in noncommuting variables. This implies the -positivity of these line graphs. We then extend this $(…